File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Conference Paper: Construction of fuzzy linguistic model

TitleConstruction of fuzzy linguistic model
Authors
Issue Date1996
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188
Citation
Proceedings Of The Ieee Conference On Decision And Control, 1996, v. 1 How to Cite?
AbstractUsing linguistic variables to describe the behavior of a hybrid system, which consists of a discrete event system and a continuous system, could make the design of the controller and verification of the system perform on an unified framework. In this paper, we show the construction of a fuzzy linguistic model from a given mathematical model of a physical system. By considering the state-space realization of the model, the system construction problem can be transformed into a function approximation problem. We propose to use projection theorem in obtaining an optimal fuzzy system which is the best approximation of a given nonlinear function in L2(U) space. We show that the existence and uniqueness of the optimal solution is assured when the Fuzzy Basis Functions(FBFs) are linearly independent. We demonstrate that the dependence of the basis functions can be examined by checking the condition of the Gram determinant associated to the FBFs. Finally, a method is proposed in converting the optimal coefficients into fuzzy sets to obtain a fuzzy linguistic model.
Persistent Identifierhttp://hdl.handle.net/10722/188688
ISSN

 

DC FieldValueLanguage
dc.contributor.authorKoo, TakKuen Johnen_US
dc.date.accessioned2013-09-03T04:13:08Z-
dc.date.available2013-09-03T04:13:08Z-
dc.date.issued1996en_US
dc.identifier.citationProceedings Of The Ieee Conference On Decision And Control, 1996, v. 1en_US
dc.identifier.issn0191-2216en_US
dc.identifier.urihttp://hdl.handle.net/10722/188688-
dc.description.abstractUsing linguistic variables to describe the behavior of a hybrid system, which consists of a discrete event system and a continuous system, could make the design of the controller and verification of the system perform on an unified framework. In this paper, we show the construction of a fuzzy linguistic model from a given mathematical model of a physical system. By considering the state-space realization of the model, the system construction problem can be transformed into a function approximation problem. We propose to use projection theorem in obtaining an optimal fuzzy system which is the best approximation of a given nonlinear function in L2(U) space. We show that the existence and uniqueness of the optimal solution is assured when the Fuzzy Basis Functions(FBFs) are linearly independent. We demonstrate that the dependence of the basis functions can be examined by checking the condition of the Gram determinant associated to the FBFs. Finally, a method is proposed in converting the optimal coefficients into fuzzy sets to obtain a fuzzy linguistic model.en_US
dc.languageengen_US
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188en_US
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Controlen_US
dc.titleConstruction of fuzzy linguistic modelen_US
dc.typeConference_Paperen_US
dc.identifier.emailKoo, TakKuen John: john.koo@siat.ac.cnen_US
dc.identifier.authorityKoo, TakKuen John=rp01787en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0030410763en_US
dc.identifier.volume1en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridKoo, TakKuen John=7005428593en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats